If the direction an object is displaced is perpendicular to the direction of a force applied to it: No work is done. Positive work is done. Negative work is done.

To determine the work done when a force is applied to an object, we can use the formula for work: \[ W = F \cdot d \cdot \cos(\theta) \] where: - \( W \) is the work done, - \( F \) is the magnitude of the force applied, - \( d \) is the magnitude of the displacement, - \( \theta \) is the angle between the force and the displacement direction. In this case, if the direction of the displacement is perpendicular to the direction of the force, then \( \theta = 90^\circ \). The cosine of \( 90^\circ \) is 0: \[ \cos(90^\circ) = 0 \] Substituting this into the work formula gives: \[ W = F \cdot d \cdot 0 = 0 \] Thus, when the displacement is perpendicular to the force, no work is done. The correct answer is: **No work is done.**